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Finding the Fourth Proportional to 520.23, 781.48 and 384.15

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Solution

The fourth proportional to 520.23, 781.48 and 384.15 is: 577.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.23 : 781.48 = 384.15 : x
  2. Step 2: Convert to fraction form
    520.23/781.48 = 384.15/x
  3. Step 3: Cross multiply
    520.23x = 781.48 × 384.15
  4. Step 4: Simplify right side
    520.23x = 300,206.02
  5. Step 5: Solve for x
    x = 300,206.02/520.23
  6. Step 6: Final answer
    x = 577.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.